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一类可分Markov映射的迭代

Iteration of a Class of Separable Markov Mappings
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摘要 迭代是同一种运算的简单重复,但对多项式这样的简单映射其迭代的计算都是复杂的.该文研究了一类特殊的非单调映射,即Markov映射的迭代,分别给出具有一个、两个和多个非单调点的映射的迭代及其具体表达式. Iteration is a simple repetition of the same operation.However,it may be complex in some simple mappings such as polynomial mappings.In this paper,we discuss the iteration of a special class of nonmonotonic mappings called Markov mappings,and give the concrete expressions of iteration of the mappings which have either one,or two,or finitely many nonmonotonic points respectively.
作者 李倪洲 赵思颐 张佳玲 Li Nizhou;Zhao Siyi;Zhang Jialing(School of Mathematics,Southwest Jiaotong University,Chengdu 611756)
出处 《数学物理学报(A辑)》 北大核心 2025年第2期321-333,共13页 Acta Mathematica Scientia
基金 中央高校基本科研业务费专项资金(202310613061)。
关键词 迭代 Markov映射 严格逐段单调映射 不动点 iteration Markov mapping piecewise monotone mapping fixed point
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